Study on Improved Nonlinear Viscoelastic-Plastic Creep Model Based on the Nishihara Model

Yu, Mingyuan; Liu, Baoguo; Sun, Jinglai; Feng, Wenlin; Wang, Qi

doi:10.1007/s10706-020-01217-5

Cited by 20 publications

(10 citation statements)

References 24 publications

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“…By using the proposed nonlinear visco-plastic body to replace the visco-plastic body of the traditional Nishihara mode, and redefine each element meaning of the mode to meet to the cyclic load deformation characteristics, a nonlinear viscoelastic-plastic model for cyclic loads was established as shown in Fig . 19 [32].…”

Section: Establish Of the Constitutive Modelmentioning

confidence: 99%

Mechanical Properties of Gas Storage Sandstone under Uniaxial Cyclic Loading and Unloading Condition

Zhao

Wu²,

Jun³

et al. 2023

Period. Polytech. Civil Eng.

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In order to study the mechanical properties and damage evolution of the gas storage surrounding rock under the periodic injection-production process, the uniaxial cyclic loading and unloading tests of sandstone were carried out by TFD-2000 microcomputer servo-controlled rock triaxial testing machine. Results shown that the compressive strength of gas storage sandstone specimens were gradually decreases with increasing of the stress amplitude after 200 cycles. The stress-strain curve under uniaxial cyclic loading and unloading condition formed hysteresis loops, and the hysteresis loop presented sparse-dense-sparse when the stress amplitude was relative higher. The residual strains can be divided into three stages of decay deformation stage, stable deformation stage and accelerated deformation stage when the stress amplitude is 8~32 MPa, this phenomenon is very similar to the creep behavior of rocks. The energy evolution of sandstone under cyclic loading and unloading was analyzed and the damage evolution low of which was also discussed in detail, the damage variable defined by energy dissipative ratio accumulation can well reflect the damage development of sandstone under uniaxial cyclic loading and unloading. A nonlinear visco-plastic body was proposed by considering the accelerate stage of curves of the axial residual strains, and used the nonlinear visco-plastic body to replace the visco-plastic body of the traditional Nishihara model, a nonlinear viscoelastic-plastic model for cyclic loads was established and the applicability of the model is verified. The research results provide certain reference value for the construction and maintenance of gas storage.

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Section: Establish Of the Constitutive Modelmentioning

confidence: 99%

Mechanical Properties of Gas Storage Sandstone under Uniaxial Cyclic Loading and Unloading Condition

Zhao

Wu²,

Jun³

et al. 2023

Period. Polytech. Civil Eng.

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“…In the fractional-order viscoelastic-plastic body, if the stress exceeds the viscoelastic-plastic yield surface, viscoelastic-plastic strain develops. The viscoelastic-plastic strain rate can be calculated by the flow rule of the overstress theory (Perzyna, 1966; Yu et al., 2020), and the viscoelastic-plastic strain rate can be expressed as: where F 1 is the viscoelastic-plastic yield function, F 0 is the initial value of the yield function, which equal to 1.…”

Section: A New Fractional-order Mechanical Model For Time-dependent D...mentioning

confidence: 99%

A new fractional-order model for time-dependent damage of rock under true triaxial stresses

Zheng

Cai

Guo-sao

et al. 2022

International Journal of Damage Mechanics

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To reasonably describe the time-dependent characteristics of rock under true triaxial stresses and analyze the long-term stability of deep underground engineering, based on the understanding of time-dependent mechanical properties of rock under true triaxial stresses, a new fractional-order damage element and the method in which the crack initiation stress is taken as the starting point of creep and the crack damage stress as the starting point of creep accelerating stage were established. Then, combined with the Mogi-Coulomb strength criterion, a fractional-order creep damage model of rock under true triaxial stresses was proposed. The proposed model was further verified based on uniaxial, conventional triaxial and true triaxial creep test results. The theoretical curves of the model are highly consistent with the test curves, indicating that the proposed model has wide applicability and rationality. Meanwhile the sensitivity of true triaxial stress states and model parameters to the creep characteristics was further investigated. Finally, based on the proposed creep model, the time-dependent characteristics of rock under untested true triaxial stress levels were predicted. The research provides a theoretical basis for the prediction of time-dependent disasters and the long-term stability analysis of surrounding rock in deep engineering.

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“…Many scholars have proposed a variety of creep models, which are mainly divided into three types: empirical models, element models, and creep models based on fracture mechanics and damage mechanics. [19][20][21][22][23][24][25][26][27][28] Some creep constitutive models of rocks treated at high temperature have been proposed and developed. For example, Cirone and Vargas 29 introduced the free energy and dissipation function to establish a creep thermodynamic model that can predict the creep behavior of rock salt.…”

Section: Introductionmentioning

confidence: 99%

Creep mechanical characteristics and nonlinear viscoelastic‐plastic creep model of sandstone after high temperature heat treatment

Pan

Berto

Zhou

2023

Fatigue Fract Eng Mat Struct

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This work studies the creep mechanical characteristics and nonlinear viscoelastic‐plastic creep model of sandstone treated at different temperatures. The peak strain, uniaxial compressive strength (UCS), and Young's modulus of sandstone treated at different temperatures are discussed as well as creep strain and long‐term strength. The conventional uniaxial compression curves and uniaxial creep curves of sandstone treated at different temperatures are compared. Moreover, a nonlinear generalized Kelvin model is developed to simulate the decay creep deformation; a time‐triggered nonlinear viscoplastic model is proposed to simulate the accelerated creep deformation. By combining the time‐triggered nonlinear viscoplastic model with the nonlinear generalized Kelvin model, plastic element, and viscous element, a nonlinear viscoelastic‐plastic creep model that can well reflect the entire creep process of sandstone treated at different temperatures is established. According to the results of model validation and parameter inversion, the new nonlinear creep model can be employed to predict the creep instability of rocks under high temperature environment.

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Study on Improved Nonlinear Viscoelastic-Plastic Creep Model Based on the Nishihara Model

Cited by 20 publications

References 24 publications

Mechanical Properties of Gas Storage Sandstone under Uniaxial Cyclic Loading and Unloading Condition

Mechanical Properties of Gas Storage Sandstone under Uniaxial Cyclic Loading and Unloading Condition

A new fractional-order model for time-dependent damage of rock under true triaxial stresses

Creep mechanical characteristics and nonlinear viscoelastic‐plastic creep model of sandstone after high temperature heat treatment

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